What is the Greatest Common Factor of 97160 and 97180?

Greatest common factor (GCF) of 97160 and 97180 is 20.

GCF(97160,97180) = 20

We will now calculate the prime factors of 97160 and 97180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97160 and 97180.

How to find the GCF of 97160 and 97180?

We will first find the prime factorization of 97160 and 97180. After we will calculate the factors of 97160 and 97180 and find the biggest common factor number .

Step-1: Prime Factorization of 97160

Prime factors of 97160 are 2, 5, 7, 347. Prime factorization of 97160 in exponential form is:

97160 = 2³ × 5¹ × 7¹ × 347¹

Step-2: Prime Factorization of 97180

Prime factors of 97180 are 2, 5, 43, 113. Prime factorization of 97180 in exponential form is:

97180 = 2² × 5¹ × 43¹ × 113¹

Step-3: Factors of 97160

List of positive integer factors of 97160 that divides 97160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 347, 694, 1388, 1735, 2429, 2776, 3470, 4858, 6940, 9716, 12145, 13880, 19432, 24290, 48580

Step-4: Factors of 97180

List of positive integer factors of 97180 that divides 97160 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 113, 172, 215, 226, 430, 452, 565, 860, 1130, 2260, 4859, 9718, 19436, 24295, 48590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97160 and 97180. The biggest common factor number is the GCF number.
So the greatest common factor 97160 and 97180 is 20.

Also check out the Least Common Multiple of 97160 and 97180